Characterization of latticial cones in Hilbert spaces by isotonicity and generalized infimum

DOI10.1007/s10474-009-9145-3zbMath1224.46007OpenAlexW2094625682MaRDI QIDQ624250

Sándor Zoltan Németh

Publication date: 8 February 2011

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-009-9145-3

zbMATH Keywords

binary operationsretractionsisotone mappingsisotone projection coneslatticial conesprojection onto conestranslation invariant relations

Mathematics Subject Classification ID

Banach lattices (46B42) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Retraction (54C15) Ordered topological linear spaces, vector lattices (46A40)

Related Items (5)

Generalized isotone projection cones ⋮ Generalized projections onto convex sets ⋮ A semi-smooth Newton method for a special piecewise linear system with application to positively constrained convex quadratic programming ⋮ Projection onto simplicial cones by a semi-smooth Newton method ⋮ Projection onto simplicial cones by Picard's method

Cites Work

• Projection methods, isotone projection cones, and the complementarity problem
• Regular exceptional family of elements with respect to isotone projection cones in Hilbert spaces and complementarity problems
• Monotonicity of metric projection onto positive cones of ordered Euclidean spaces
• Characterization of a Hilbert vector lattice by the metric projection onto its positive cone
• Every generating isotone projection cone is latticial and correct
• Inequalities characterizing coisotone cones in Euclidean spaces
• Iterative methods for nonlinear complementarity problems on isotone projection cones
• In what spaces is every closed normal cone regular?
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